Answers to Selected Problems

Chapter 3 Graphical Optimization

3.1 x* = (2, 2), f* = 2. 3.2 x* = (0, 4), F* = 8. 3.3 x* = (8, 10), f* = 38. 3.4 x* = (4, 3.333, 2), F* = 11.33. 3.5 x* = (10, 10), F* = 400. 3.6 x* = (0, 0), f* = 0. 3.7 x* = (0, 0), f* = 0. 3.8 x* = (2, 3), f* = −22. 3.9 x* = (-2.5, 1.58), f* = −3.95. 3.10 x* = (-0.5, 0.167), f* = −0.5. 3.21 b* = 24.66cm, d* = 49.32cm, f* = 1216cm3. 3.22 Ro* = 20cm, Ri* = 19.84cm, f* = 79.1kg. 3.23 R* = 53.6mm, t* = 5.0mm, f* = 66kg. 3.24 Ro* = 56mm, Ri* = 51mm, f* = 66kg. 3.25 w* = 93mm, t* = 5mm, f* = 70kg. 3.26 Infinite optimum points, f* = 0.812kg. 3.27 A* = 5000, h* = 14, f* = $13.4 million. 3.28 R* = 1.0m, t* = 0.0167m, f* = 8070kg. 3.29 A1* = 6.1cm2, A2* = 2.0cm2, f* = 5.39kg. 3.31 t* = ...

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